Basis selection for SOS programs via facial reduction and polyhedral approximations

We develop a monomial basis selection procedure for sum-of-squares (SOS) programs based on facial reduction. Using linear programming and polyhedral approximations, the proposed technique finds a face of the SOS cone containing the feasible set of a given SOS program. The identified face in turn ide...

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Bibliographic Details
Main Authors: Permenter, Frank Noble, Parrilo, Pablo A.
Other Authors: Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory
Format: Article
Language:English
Published: Institute of Electrical and Electronics Engineers (IEEE) 2019
Online Access:https://hdl.handle.net/1721.1/121514